Great disnub cube
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|Great disnub cube|
|Bowers style acronym||Gidsac|
|Components||6 square antiprisms|
|Faces||48 triangles, 12 squares as 6 stellated octagons|
|Vertex figure||Isosceles trapezoid, edge length 1, 1, 1, √2|
|Measures (edge length 1)|
|Number of external pieces||336|
|Level of complexity||52|
|Dual||Compound of six square antitegums|
|Conjugate||Great disnub cube|
|Abstract & topological properties|
|Symmetry||B3, order 48|
The great disnub cube, gidsac, or compound of six square antiprisms is a uniform polyhedron compound. It consists of 48 triangles and 12 squares (which pair up into 6 stellated octagons due to lying in the same plane), with one square and three triangles joining at a vertex.
It can be formed by combining the two chiral forms of the great snub cube.
Its quotient prismatic equivalent is the square antiprismatic hexateroorthowedge, which is eight-dimensional.
Vertex coordinates[edit | edit source]
The vertices of a great disnub cube of edge length 1 are given by all permutations of:
External links[edit | edit source]
- Bowers, Jonathan. "Polyhedron Category C8: Antiprismatics" (#47).
- Klitzing, Richard. "gidsac".
- Wikipedia Contributors. "Compound of six square antiprisms".